130295301032160 has 1920 divisors, whose sum is σ = 543645644129280. Its totient is φ = 29036902809600.

The previous prime is 130295301032159. The next prime is 130295301032179. The reversal of 130295301032160 is 61230103592031.

130295301032160 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 530 + 103 + 2 + 16 + 0 = 666.

It is a super-2 number, since 2×130295301032160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18755617807 + ... + 18755624753.

It is an arithmetic number, because the mean of its divisors is an integer number (283148772984).

Almost surely, 2^{130295301032160} is an apocalyptic number.

130295301032160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130295301032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271822822064640).

130295301032160 is an abundant number, since it is smaller than the sum of its proper divisors (413350343097120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130295301032160 is a wasteful number, since it uses less digits than its factorization.

130295301032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 130295301032160 in words is "one hundred thirty trillion, two hundred ninety-five billion, three hundred one million, thirty-two thousand, one hundred sixty".